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Official PYQ · 2002

GATE EC 2002 Set 1 Q2.21 — LTI Systems

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If the variance σx2\sigma_{x}^{2} of d(n)=x(n)−x(n−1)d(n)=x(n)-x(n-1) is one-tenth the variance σx2\sigma_{x}^{2} of a stationary zero-mean discrete-time signal x(n)x(n), then the normalized autocorrelation function Rxx(k)/σx2R_{x x}(k) / \sigma_{x}^{2} at k=1k=1 is

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Answer: C

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